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2210123110212 = 2232731378217477
BaseRepresentation
bin100000001010010101100…
…110100101011101000100
321211021201021112211001100
4200022111212211131010
5242202313004011322
64411152212300100
7315450624320643
oct40122546453504
97737637484040
102210123110212
11782342972576
122b8405911630
1313054bc16494
1478d831bd35a
153c75502bdac
hex202959a5744

2210123110212 has 144 divisors (see below), whose sum is σ = 5712279863472. Its totient is φ = 720337121280.

The previous prime is 2210123110133. The next prime is 2210123110213. The reversal of 2210123110212 is 2120113210122.

2210123110212 is a `hidden beast` number, since 2 + 210 + 1 + 231 + 10 + 212 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 133688221956 + 2076434888256 = 365634^2 + 1440984^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2210123110213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295585818 + ... + 295593294.

It is an arithmetic number, because the mean of its divisors is an integer number (39668610163).

Almost surely, 22210123110212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210123110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856139931736).

2210123110212 is an abundant number, since it is smaller than the sum of its proper divisors (3502156753260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2210123110212 is a wasteful number, since it uses less digits than its factorization.

2210123110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518 (or 8513 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2210123110212 its reverse (2120113210122), we get a palindrome (4330236320334).

The spelling of 2210123110212 in words is "two trillion, two hundred ten billion, one hundred twenty-three million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 137 146 219 274 292 411 438 548 657 821 822 876 1233 1314 1642 1644 2463 2466 2628 3284 4926 4932 7389 7477 9852 10001 14778 14954 20002 22431 29556 29908 30003 40004 44862 59933 60006 67293 89724 90009 112477 119866 120012 134586 179799 180018 224954 239732 269172 337431 359598 360036 449908 539397 545821 674862 719196 1012293 1024349 1078794 1091642 1349724 1637463 2024586 2048698 2157588 2183284 3073047 3274926 4049172 4097396 4912389 6138617 6146094 6549852 8210821 9219141 9824778 12277234 12292188 16421642 18415851 18438282 19649556 24554468 24632463 32843284 36831702 36876564 49264926 55247553 73663404 73897389 74777477 98529852 110495106 147794778 149554954 220990212 224332431 295589556 299109908 448119041 448664862 672997293 840990529 896238082 897329724 1344357123 1345994586 1681981058 1792476164 2522971587 2688714246 2691989172 3363962116 4033071369 5045943174 5377428492 7568914761 8066142738 10091886348 15137829522 16132285476 30275659044 61392308617 122784617234 184176925851 245569234468 368353851702 552530777553 736707703404 1105061555106 2210123110212